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123230441120 = 25531145317099
BaseRepresentation
bin111001011000100011…
…0110100111010100000
3102210002010211000121212
41302301012310322200
54004333443103440
6132340012005252
711621523316043
oct1626106647240
9383063730555
10123230441120
114829740a376
121ba71760828
13b80b5538a7
145d703b6c5a
1533138b8465
hex1cb11b4ea0

123230441120 has 96 divisors (see below), whose sum is σ = 300747686400. Its totient is φ = 47666488320.

The previous prime is 123230441119. The next prime is 123230441137. The reversal of 123230441120 is 21144032321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7198331 + ... + 7215429.

It is an arithmetic number, because the mean of its divisors is an integer number (3132788400).

Almost surely, 2123230441120 is an apocalyptic number.

123230441120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123230441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150373843200).

123230441120 is an abundant number, since it is smaller than the sum of its proper divisors (177517245280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123230441120 is a wasteful number, since it uses less digits than its factorization.

123230441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18598 (or 18590 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 123230441120 its reverse (21144032321), we get a palindrome (144374473441).

The spelling of 123230441120 in words is "one hundred twenty-three billion, two hundred thirty million, four hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 1453 2480 2906 4960 5812 7265 11624 14530 17099 23248 29060 34198 45043 46496 58120 68396 85495 90086 116240 136792 170990 180172 225215 232480 273584 341980 360344 450430 530069 547168 683960 720688 900860 1060138 1367920 1441376 1801720 2120276 2650345 2735840 3603440 4240552 5300690 7206880 8481104 10601380 16962208 21202760 24844847 42405520 49689694 84811040 99379388 124224235 198758776 248448470 397517552 496896940 770190257 795035104 993793880 1540380514 1987587760 3080761028 3850951285 3975175520 6161522056 7701902570 12323044112 15403805140 24646088224 30807610280 61615220560 123230441120